Penrose Tiling Generator

Aperiodic Pattern Visualization - Sad Little University Mathematics Department

generations

Matching Rules 5-Fold Symmetry Grid Overlay

Triangles: 0

Total Tiles: 0

Kites: 0

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Kite/Dart Ratio: N/A

Approaches φ ≈ 1.618 as n → ∞

Aperiodic: Penrose tilings never repeat, yet follow strict local matching rules.

Self-Similar: The pattern contains scaled copies of itself at every level.

Quasicrystals: These patterns model real materials discovered in 1982 by Dan Shechtman.

Golden Ratio: The ratio of kites to darts approaches φ = (1+√5)/2.

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Generation: 0 | Tiles: 0 | Zoom: 1.00x